Orthogonal frequency division multiplexing (OFDM) has become a promising method for many wireless communication applications. However, one main drawback of OFDM systems is the high peak-to-average power ratio (PAPR). Selected mapping (SLM) is a well-known technique to decrease the problem of high PAPR in OFDM systems. In this method, transmitter is obliged to send some bits named side information (SI) for each data block. Such side information causes bandwidth efficiency to be decreased; in addition, incorrect detection of SI in receiver side make whole data block be lost. In this paper, we propose a technique by using linear feedback shift register (LFSR) in which side information bits are not explicitly sent. By considering an OFDM system through the use of 16-QAM modulation as an illustrated example, it is shown that the proposed technique from the view point of bit error rate (BER), probability of detection failure ( Pdf) and PAPR reduction performs very well.